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Simplifying 7(x + 3) = -4(x + 3) Reorder the terms: 7(3 + x) = -4(x + 3) (3 * 7 + x * 7) = -4(x + 3) (21 + 7x) = -4(x + 3) Reorder the terms: 21 + 7x = -4(3 + x) 21 + 7x = (3 * -4 + x * -4) 21 + 7x = (-12 + -4x) Solving 21 + 7x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 21 + 7x + 4x = -12 + -4x + 4x Combine like terms: 7x + 4x = 11x 21 + 11x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 11x = -12 + 0 21 + 11x = -12 Add '-21' to each side of the equation. 21 + -21 + 11x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 11x = -12 + -21 11x = -12 + -21 Combine like terms: -12 + -21 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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